In this paper, we present an overview of adaptive control by contrasting model‐based
approaches with data‐driven approaches. Indeed, we propose to classify adaptive …

Extremum seeking (ES) is a powerful approach to the optimization and stabilization of
unknown dynamic systems and is an active field of research in control theory. This paper …

In this paper, we present a constructive approach to extremum seeking (ES) by using a time-
delay approach to averaging. We consider gradient-based ES of static maps in the case of …

This paper considers Nash equilibrium seeking for N-cluster noncooperative games in
which the explicit expressions of the agents' local objective functions are not available to the …

Originating in 1922, in its 95-year history, extremum seeking has served as a tool for model-
free real-time optimization of stable dynamic systems. We introduce a paradigm in which not …

This paper presents a new class of robust zero-order algorithms for the solution of real-time
optimization problems with acceleration. In particular, we propose a family of extremum …

This article proposes a constructive method for sampled-data extremum seeking (ES) with
square wave dithers and constant delays, by using two time-delay approaches: one to …

The year in which this book appears is the centennial of the 1922 invention, in the context of
maximizing the power transfer to an electric tram car [130], of the method for real-time …

Most extremum-seeking control (ESC) approaches focus solely on the problem of finding the
extremum of some unknown, steady-state input–output map, providing parameter settings …

We introduce a framework for the analysis of extremum seeking systems for dynamic maps
based on Lie bracket approximations and singular perturbation theory. Using the introduced …